WebThe derivative of a function represents its a rate of change (or the slope at a point on the graph). What is the derivative of zero? The derivative of a constant is equal to zero, hence the derivative of zero is zero. What does the third derivative tell you? The third derivative is the rate at which the second derivative is changing. WebApr 10, 2024 · Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e. 1 Answer . Wataru

How do you differentiate f(x)=x^3lnx using the product …

WebQuestion: Find the derivative of Write your answer as y=x^(3ln(x)) Find the derivative of Write your answer as y=x^(3ln(x)) Expert Answer. Who are the experts? Experts are … WebYou are trying to take the derivative of the function f (x)=3ln (x) As the definition of the derivative is f' (x)= lim_h->0 (f (x+h)-f (x))/h You already have the derivative in the statement you have written above. All you … ion television online stream

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WebSimplify e^(3 ln x) WebHere is the derivative of that: y = x^ln x let u = ln x thus, x = e^u thus, du = dx/x thus, y= x^ln x = (e^u)^u = e^ (u²) Let w = u² Thus, dw = 2u du e^ (u²)= e^w Taking the derivative: dy = e^w dw dy = e^ (u²) (2u) (du) dy = (x^ln x) (2 ln x) (dx/x) dy = (2 ln x) x^ [ln (x) - 1)]dx dy/dx = (2 ln x) x^ [ln (x) - 1)] ( 3 votes) peaceumoru WebQuestion: Find the derivative of Write your answer as y=x^(3ln(x)) Find the derivative of Write your answer as y=x^(3ln(x)) Expert Answer. Who are the experts? Experts are tested by Chegg as specialists in their subject area. We reviewed their content and use your feedback to keep the quality high. ion television organic lawn care